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The evolutionary stability of constant consistent conjectures

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  • Possajennikov, Alex

Abstract

In the general context of smooth two-player games, this paper shows that there is a close connection between (constant) consistent conjectures in a given game and the evolutionary stability of these conjectures. Evolutionarily stable conjectures are consistent and consistent conjectures are the only interior candidates to be evolutionarily stable. Examples are provided to illustrate the result.

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  • Possajennikov, Alex, 2009. "The evolutionary stability of constant consistent conjectures," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 21-29, October.
    • Handle: RePEc:eee:jeborg:v:72:y:2009:i:1:p:21-29
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    6. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-395, December.
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    Cited by:

    1. Paulo Brito & Bipasa Datta & Huw Dixon, 2011. "The evolution of mixed conjectures in the rent-extraction game," Discussion Papers 11/06, Department of Economics, University of York.
    2. N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
    3. Possajennikov, Alex, 2015. "Conjectural variations in aggregative games: An evolutionary perspective," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 55-61.
    4. Alex Possajennikov, 2016. "Evolution of Consistent Conjectures in Semi-Aggregative Representation of Games, with Applications to Public Good Games and Contests," Discussion Papers 2016-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    5. Leppänen, Ilkka, 2016. "Consistent conjectures and the evolutionary stability of other-regarding preferences," Economics Letters, Elsevier, vol. 142(C), pages 53-55.
    6. Dong, Changgui & Wiser, Ryan & Rai, Varun, 2018. "Incentive pass-through for residential solar systems in California," Energy Economics, Elsevier, vol. 72(C), pages 154-165.
    7. Saglam, Ismail, 2022. "Pretend-But-Perform Regulation of a Duopoly under Three Competition Modes," MPRA Paper 116767, University Library of Munich, Germany.
    8. Ilkka Leppänen, 2018. "Evolutionarily stable conjectures and other regarding preferences in duopoly games," Journal of Evolutionary Economics, Springer, vol. 28(2), pages 347-364, April.

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    More about this item

    Keywords

    Consistent conjectures Evolutionary stability Indirect evolution;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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